Problem 46726. [Thermodynamics] Polynomial fitting of heat capacity data

Alex

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An easy way to describe the temperature-dependence of the ideal gas heat capacity is by use of polynomials. Given are a vector of temperatures T (in Kelvin) and a vector if corresponding heat capacities CP for some substance (in J/mol K).
Your function should perform a polynomial fit of degree N and return a function handle to that polynomial.
Example (hydrogen):
T   = [300 400 500 600 700 800 900 1000];                % temperature in K
CP  = [28.85 29.18 29.26 29.32 29.44 29.62 29.88 30.2];  % heat capacity in J/mol K
FUN = cpFitting(T,CP,2);            % polynomial fitting and create function handle
>> FUN(350)
ans =
   29.0074
>> FUN(940)
ans =
   29.9943